A tour company has a boat that sits at most 40 passengers. For a cruise on the Hudson River they charge $12 per adult and $5 per
child. They will only take the boat out if they have sold at least $250 worth of tickets. Let a be the number of adults who take the cruise and c be the number of children. Will they take the boat out if they 14 adults and 9 children buy tickets? Justify.